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Finding the Third Proportional to 1,547,773,748,891.70 and 3,367,290,369,996.80

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Solution

The third proportional to 1,547,773,748,891.70 and 3,367,290,369,996.80 is: 7,325,776,421,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,773,748,891.70 : 3,367,290,369,996.80 = 3,367,290,369,996.80 : x
  2. Step 2: Convert to fraction form
    1,547,773,748,891.70/3,367,290,369,996.80 = 3,367,290,369,996.80/x
  3. Step 3: Cross multiply
    1,547,773,748,891.70x = 3,367,290,369,996.80 × 3,367,290,369,996.80
  4. Step 4: Simplify right side
    1,547,773,748,891.70x = 11,338,644,435,873,184,314,556,416
  5. Step 5: Solve for x
    x = 11,338,644,435,873,184,314,556,416/1,547,773,748,891.70
  6. Step 6: Final answer
    x = 7,325,776,421,775.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.